4. A cycle shop announces a 30% rebate on children's cycles. Balwinder, a Class VI student, likes a cycle with a marked price of 1,650. How much money will he have to pay for it?
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Answer:
Let the S.P.of one A grade cycle = Rs. n
Then, the S.P. of one B grade cycle = Rs.
4
3n
C.P. of 30 cycles = Rs. 3150, profit =40%.
∴ S.P. of 30 cycles =
100
140
×3150= Rs. 3150×1.4
According to the question, we have
8n+22×
4
3n
=3150×1.4
⇒32n+66n=17640
⇒98n=17640
⇒n=180
Therefore, he should sell the first grade bicycle at Rs. 180 each.
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